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Published byRolf Glenn Modified over 9 years ago
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P.O.D. #1 Convert ⅝ to a decimal and to a percent. Decimal: 5 ÷ 8 = 0.625 Percent: 0.625 100% = 62.5% Determine the value of t. 14 19 = t 95 14 95 = 19 t 1330 = 19t ÷19 ÷19 70 = t basicadvanced
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Probability of Simple Events The probability of an event is a ratio that compares the number of favorable outcomes to the number of possible outcomes.
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01 ½¾ ¼ ImpossibleUnlikely As likely to happen as not Likely Certain 00.25 0.50.751 0%25%50%75%100% Fraction: Decimal: Percent: The probability of a chance event is a number between 0 and 1.
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P(event) = Number of favorable outcomes Number of possible outcomes Example: You roll a number cube. What is the probability of rolling an odd number? P(odd) = 3 6 = 1212
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Example: The probability that you draw a short straw out of a group of 40 straws is 3/20. How many straws are short? 3 20 x 40 = 3 40 = 20 x 120 = 20x ÷20 6 = x Set up a proportion: Cross multiply: Solve for variable: Six out of the 40 straws are short.
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Complementary events are two events in which either one or the other must happen, but they cannot happen at the same time.
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Example: The probability of not rolling a 4 and the probability of rolling a 4 are complementary. P(4) + P(not 4) = ? 1616 + 5656 = 1 The sum of the probability of an event and its complement is 1 or 100%.
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Whiteboard: You randomly choose one hat from 3 green hats, 4 black hats, and 2 white hats. What is the probability that you will choose a green hat? P(green) = 3 9 = 1313 Decimal: 0.33 Percent: 33%
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Whiteboard: Miss Bush surveyed her class and discovered that 70% of her students own a cellphone. Find the probability that a student does not own a cellphone. P(phone) + P(not phone) = 100% 70% + P(not phone) = 100% -70% -70% P(not phone) = 30%
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Whiteboard: Miss Bush surveyed her class and discovered that 70% of her students own a cellphone. If there are 20 students in her class, how many own cellphones? 70 100 x 20 = 70 20 = 100 x 1400 = 100x ÷100 ÷100 14 = x
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